Stochastic integration with respect to Gaussian processes

被引:6
|
作者
Decreusefond, L [1 ]
机构
[1] ENST, F-75634 Paris 13, France
关键词
D O I
10.1016/S1631-073X(02)02360-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a Stratonovitch-Skorohod-like stochastic integral for general Gaussian processes. We study its sample path regularity and one of its numerical approximating schemes. We also analyze the way it is transformed by an absolutely continuous change of probability and we give an 116 formula. (C) 2002 Academie des science/Edition scientifiques et medicales Elsevier SAS.
引用
收藏
页码:903 / 908
页数:6
相关论文
共 50 条
  • [1] STOCHASTIC INTEGRATION WITH RESPECT TO GAUSSIAN-PROCESSES
    MANDREKAR, V
    [J]. LECTURE NOTES IN MATHEMATICS, 1984, 1089 : 288 - 293
  • [2] Stochastic Calculus with Respect to Gaussian Processes
    Joachim Lebovits
    [J]. Potential Analysis, 2019, 50 : 1 - 42
  • [3] Stochastic Calculus with Respect to Gaussian Processes
    Lebovits, Joachim
    [J]. POTENTIAL ANALYSIS, 2019, 50 (01) : 1 - 42
  • [4] Stochastic calculus with respect to Gaussian processes
    Alòs, E
    Mazet, O
    Nualart, D
    [J]. ANNALS OF PROBABILITY, 2001, 29 (02): : 766 - 801
  • [5] Stochastic integration with respect to Volterra processes
    Decreusefond, L
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2005, 41 (02): : 123 - 149
  • [6] STOCHASTIC INTEGRATION WITH RESPECT TO CYLINDRICAL LEVY PROCESSES
    Jakubowski, Adam
    Riedle, Markus
    [J]. ANNALS OF PROBABILITY, 2017, 45 (6B): : 4273 - 4306
  • [7] Stochastic integration with respect to fractional processes in Banach spaces
    Coupek, Petr
    Maslowski, Bohdan
    Ondrejat, Martin
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 282 (08)
  • [8] Stochastic integration and one class of Gaussian random processes
    Dorogovtsev A.A.
    [J]. Ukrainian Mathematical Journal, 1998, 50 (4) : 550 - 561
  • [9] Stochastic integration with respect to canonical α-stable cylindrical Levy processes
    Bodo, Gergely
    Riedle, Markus
    [J]. ELECTRONIC JOURNAL OF PROBABILITY, 2022, 27
  • [10] Symmetric Stochastic Integrals with Respect to a Class of Self-similar Gaussian Processes
    Harnett, Daniel
    Jaramillo, Arturo
    Nualart, David
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 2019, 32 (03) : 1105 - 1144